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Finding the Third Proportional to 902,922 and 1,961,364

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Solution

The third proportional to 902,922 and 1,961,364 is: 4,260,554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,922 : 1,961,364 = 1,961,364 : x
  2. Step 2: Convert to fraction form
    902,922/1,961,364 = 1,961,364/x
  3. Step 3: Cross multiply
    902,922x = 1,961,364 × 1,961,364
  4. Step 4: Simplify right side
    902,922x = 3,846,948,740,496
  5. Step 5: Solve for x
    x = 3,846,948,740,496/902,922
  6. Step 6: Final answer
    x = 4,260,554.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.